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13323121122132 = 22321672216088011
BaseRepresentation
bin1100000111100000011111…
…1001101101101101010100
31202011200022012220020221100
43001320013321231231110
53221241223001402012
644200320215350100
72543364235000263
oct301700771555524
952150265806840
1013323121122132
1142773385a4298
1215b213a382330
137584989a3a83
14340bb1b845da
15181871acd8dc
hexc1e07e6db54

13323121122132 has 36 divisors (see below), whose sum is σ = 33879553527456. Its totient is φ = 4414447315920.

The previous prime is 13323121122119. The next prime is 13323121122137. The reversal of 13323121122132 is 23122112132331.

13323121122132 is a `hidden beast` number, since 1 + 3 + 3 + 231 + 211 + 2 + 213 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13323121122096 and 13323121122105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323121122137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1108037994 + ... + 1108050017.

It is an arithmetic number, because the mean of its divisors is an integer number (941098709096).

Almost surely, 213323121122132 is an apocalyptic number.

13323121122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13323121122132 is an abundant number, since it is smaller than the sum of its proper divisors (20556432405324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13323121122132 is a wasteful number, since it uses less digits than its factorization.

13323121122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216088188 (or 2216088183 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13323121122132 its reverse (23122112132331), we get a palindrome (36445233254463).

The spelling of 13323121122132 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 501 668 1002 1503 2004 3006 6012 2216088011 4432176022 6648264033 8864352044 13296528066 19944792099 26593056132 39889584198 79779168396 370086697837 740173395674 1110260093511 1480346791348 2220520187022 3330780280533 4441040374044 6661560561066 13323121122132